The concept of -Cuts in Multi Q-fuzzy Set

The purpose of this paper is to introduce the concept of -Cuts and their properties in multi Q-fuzzy sets. In addition, both first and second decomposition theorems were established and proved. It is shown that any Multi Q-fuzzy Set can be represented as the union of its special -cuts as well as its special strong -cuts

Relations and functions in soft multiset context

After recalling the concepts of soft sets, multisets and soft multisets, soft multiset relations and functions, together with some of their properties such as injective, surjective and bijective functions are introduced. It is further shown that some properties holding in multisets does not hold in soft multisets. Some related results are also established.Keywords: Soft set, Multiset, Soft Multiset, Relations, Function

Multiset proximity spaces

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Multiset filters

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Mutation of DNA and RNA sequences through the application of topological spaces

Topology is branch of modern mathematics that plays an important role in applications of biology. The aim of this paper is to study DNA sequence mutations using multisets, relations, metric functions, topology and association indices. Moreover, we use association indices to study the similarity between DNA sequences. These different ways of identifying a mutation help biologists to make a decision. A decision of mutation that depends on metrics between two sequences of genes and the topological structure produced by their relationship is presented